PAN-SEARED RIB-EYE STEAK WITH BéARNAISE (ENTRECôTE BéARNAISE)

Steps:

• Cook steaks:
• Halve steaks crosswise, then pat dry and sprinkle all over with 1 teaspoon salt and 1/2 teaspoon pepper (total).
• Heat a 12-inch heavy ovenproof skillet (not nonstick) over medium heat until hot, then add oil, swirling skillet to coat bottom, and cook steaks 5 minutes per side for medium-rare.
• Transfer steaks to a platter and let stand, loosely covered with foil, 5 minutes.
• Make béarnaise while steaks stand:
• Boil wine, vinegar, shallots, and 1 tablespoon tarragon in a small heavy saucepan until liquid is reduced to 2 tablespoons, then strain through a fine-mesh sieve set into a medium metal bowl, pressing on and then discarding solids.
• Whisk yolks into vinegar mixture, then set bowl over a pan of barely simmering water and cook, whisking constantly, until yolks have thickened slightly (do not scramble).
• Whisk in butter 1 piece at a time, adding each piece before previous one has melted completely. Remove from heat and whisk in lemon juice, remaining tablespoon tarragon, 1/2 teaspoon salt, and 1/2 teaspoon pepper (or to taste). Serve steaks with sauce.